Chapter 5. Advanced Topological Tools

Chapters in this book

1. Frontmatter i
2. Preface v
3. Contents vii
4. Chapter 1. Introduction 1
5. Part I. Topology and Multivalued Maps
6. Chapter 2. Multivalued Maps 9
7. Chapter 3. Metric Spaces 59
8. Chapter 4. Spaces Defined by Extensions, Retractions, or Homotopies 105
9. Chapter 5. Advanced Topological Tools 129
10. Part II. Coincidence Degree for Fredholm Maps
11. Chapter 6. Some Functional Analysis 147
12. Chapter 7. Orientation of Families of Linear Fredholm Operators 169
13. Chapter 8. Some Nonlinear Analysis 197
14. Chapter 9. The Brouwer Degree 237
15. Chapter 10. The Benevieri–Furi Degrees 309
16. Part III. Degree Theory for Function Triples
17. Chapter 11. Function Triples 339
18. Chapter 12. The Degree for Finite-Dimensional Fredholm Triples 367
19. Chapter 13. The Degree for Compact Fredholm Triples 391
20. Chapter 14. The Degree for Noncompact Fredholm Triples 413
21. Bibliography 465
22. Index of Symbols 475
23. Index 477